Change ratio into units.
Fill in the blanks in numbers, units or unit equations.
Bryan and Adam share a sum of money in the ratio 7 : 8.
After Bryan gives
29 of his money to Adam,
Adam has $37 more than Bryan.
- Difference in the amount between Bryan and Adam at first = _____ u
- Amount that Adam has in the end = _____ u
- Total amount that they have = _____ u
- 1 u = $_____
|
Bryan |
Adam |
Comparing between Bryan and Adam at first |
7 x 9 = 63 u |
8 x 9 = 72 u |
Before |
9 x 7 = 63 u |
|
Change |
2 x 7 = - 14 u |
+ 14 u |
After |
7 x 7 = 49 u |
86 u |
(a)
Change ratio into units.
The amount that Bryan has at first is repeated.
Amount that Bryan has at first = 63 u
Amount that Adam has at first = 72 u
Difference in the amount between Bryan and Adam at first
= 72 u - 63 u
= 9 u
(b)
Amount that Adam has in the end
= 72 u + 14 u
= 86 u
(c)
Total amount that they have
= 63 u + 72 u
= 135 u
(d)
Difference in the amount that they have in the end
= 86 u - 49 u
= 37 u
37 u = 37
1 u = 37 ÷ 37 = 1
Answer(s): (a) 9; (b) 86; (c) 135; (d) 1